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Finding the Fourth Proportional to 4,175.16, 6,262.58 and 1,055.16

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Solution

The fourth proportional to 4,175.16, 6,262.58 and 1,055.16 is: 1,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.16 : 6,262.58 = 1,055.16 : x
  2. Step 2: Convert to fraction form
    4,175.16/6,262.58 = 1,055.16/x
  3. Step 3: Cross multiply
    4,175.16x = 6,262.58 × 1,055.16
  4. Step 4: Simplify right side
    4,175.16x = 6,608,023.91
  5. Step 5: Solve for x
    x = 6,608,023.91/4,175.16
  6. Step 6: Final answer
    x = 1,582.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.